\(n\)-power quasi-isometry and \(n\)-power normal composition operators on \(L^2\)-spaces

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DOI:

https://doi.org/10.26637/mjm401/006

Abstract

In this paper, we give the characterizations of \(n\)-power Quasi-isometry and \(n\)-power normal composition operators. Further, we also discuss the characterization of the \(n\)-power quasi-isometry composite multiplication operator.

Keywords:

composite multiplication operator, \(n\)-power quasi-isometry operator , \(n\)-power normal operator

Mathematics Subject Classification:

47B20, 47B33, 47B38
  • Pages: 42-52
  • Date Published: 01-01-2016
  • Vol. 4 No. 01 (2016): Malaya Journal of Matematik (MJM)

C. Burnap, I. B. Jung and A. Lambert, Separating partial normality classes with composition opertors, J.Operator Theory, 53(2) (2005), 381-397.

D. J. Harrington and R. Whitley, Seminormal composition operator, J. Operator Theory, 11(1981), $125-135$.

A. A. S. Jibril, On n-Power normal operators, The Arabian Journal for Science and Engineering, 33(2A)(2008), $247-251$.

J. S. I. Mary, Spectra of composition operators and their Alugthe transformations, Indian I. of Mathematics,51(3)(2009), 549-555.

J. S. I. Mary and P. Vijayalakshmi, A note on the class of N-power quasi isometry, International J. Applied Mathematics and Statistical Sciences, 2(5)(2013), 1-8.

W. C. Ridge, Proc. Am. Math. Soc., 37(1973), 121-127. DOI: https://doi.org/10.1090/S0002-9939-1973-0306457-2

S. Senthil, P. Thangaraju and D. C. Kumar, n-normal and n-quasi-normal composite multiplication operator on $L^2$-spaces, J. Scientific Research and Reports, 8(4)(2015), 1-9. DOI: https://doi.org/10.9734/JSRR/2015/18661

R. K. Singh, Compact and quasinormal composition operators, Proc. Amer. Math. Soc.,45(1974), 80-82. DOI: https://doi.org/10.1090/S0002-9939-1974-0348545-1

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Published

01-01-2016

How to Cite

P. Vijayalakshmi, and J. Stella Irene Mary. “\(n\)-Power Quasi-Isometry and \(n\)-Power Normal Composition Operators on \(L^2\)-Spaces”. Malaya Journal of Matematik, vol. 4, no. 01, Jan. 2016, pp. 42-52, doi:10.26637/mjm401/006.